WolframAlpha
Wolfram Alpha is an engine for computing answers and providing knowledge.It works by using its vast store of expert-level knowledge and algorithms to automatically answer questions, do analysis, and generate reports.
Now, lets look at how to use wolfram alpha ?!
Type in the problem you want to solve: For example, let's say you want to factor 2x^5 - 19x^4 + 58x^3 - 67x^2 + 56x - 48. To get the answer, type factor 2x^5 - 19x^4 + 58x^3 - 67x^2 + 56x - 48 in the text field. You'll have the correct answer, plus a graphical representation, and much more.
another example: İf you want to compute an integral you just write integral of(...) in the text field.
if you use this programme, you can compute almost everything!
Now, look at the usages in math.
do basic arithmetic
125 + 375
do exact arithmetic with fractions
1/4 * (4 - 1/2)
compute a decimal approximation of a specified number of digits
pi to 1000 digits
convert a decimal number to another base
219 to binary
plot a function
plot x^3 - 6x^2 + 4x + 12
plot a region satisfying multiple inequalities
plot x^2+y^2<1 and y>x
solve an equation
x^3 - 4x^2 + 6x - 24 = 0
factor a polynomial
factor 2x^5 - 19x^4 + 58x^3 - 67x^2 + 56x - 48
compute eigenvalues and eigenvectors of a matrix
eigenvalues {{4,1},{2,-1}}
calculate a derivative
derivative of x^4 sin x
compute an integral
integrate sin x dx from x=0 to pi
solve an ordinary differential equation
y'' + y = 0
compute properties of a geometric figure
annulus, inner radius=2, outer radius=5
plot a conic section and identify its type
2x^2 - 3xy + 4y^2 + 6x - 3y - 4 = 0
compute properties of a polyhedron
dodecahedron
compute a prime factorization
factor 70560
solve a Diophantine equation
solve 3x+4y=5 over the integers
compute a possible formula and continuation for a sequence
5, 14, 23, 32, 41, ...
analyze a graph specified by adjacency rules
1->2, 2->3, 3->1, 3->4, 4->1
solve a recurrence
f(n)=f(n-1)+f(n-2), f(1)=1, f(2)=2
minimize or maximize a function
maximize x(1-x)e^x
numerically integrate functions that cannot be integrated symbolically
integrate sin(cos x) from x=0 to 1
compute a truth table
P && (Q || R)
generate a Venn diagram
(complement S) intersect (A union B)
do computations with special functions
d/dx Si(x)^2
do computations with number-theoretic functions
phi(110)
find representations for a function
gamma(x) integral representation
compute properties of a function of a complex variable (use the variable z)
e^z
do vector analysis computations
div (x^3 y, y^3 z, z^3 x)
compute properties of a knot
8_1 knot
find information about a math concept
tangram
get a brief definition
basic definition of prime number
get information about a mathematical conjecture
Riemann Hypothesis
get historical information about a theorem
Fermat's little theorem
WARNİNG FOR THE STUDENTS !!!Be sure to study the answers the site provides so that you can really understand how the solution was reached. And while this is a fun way to solve problems, you should still continue to solve problems on your own using complete working out methods and not merely rely on this website; chances are, you won't have use of it in your math exams! :)
